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Finding the Fourth Proportional to 265,446.90, 398,180.16 and 87,969.42

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Solution

The fourth proportional to 265,446.90, 398,180.16 and 87,969.42 is: 131,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,446.90 : 398,180.16 = 87,969.42 : x
  2. Step 2: Convert to fraction form
    265,446.90/398,180.16 = 87,969.42/x
  3. Step 3: Cross multiply
    265,446.90x = 398,180.16 × 87,969.42
  4. Step 4: Simplify right side
    265,446.90x = 35,027,677,730.71
  5. Step 5: Solve for x
    x = 35,027,677,730.71/265,446.90
  6. Step 6: Final answer
    x = 131,957.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.